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3 years ago

Write a polynomial in standard form that represents the area of the shaded region

Mathematics

2 answers:

maria [59]3 years ago

8 0

Answer:

x^2-3x+36

Step-by-step explanation:

Sladkaya [172]3 years ago

5 0

Subtract the area of the inside rectangle from the outside one

THE ANSWER IS: x^2 - 3x + 36

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Rational numbers are _____ natural numbers.?<br> 1.)always <br> 2.)sometimes<br> 3.)never

yuradex [85]

I think it sometimes but im not sure

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4 years ago

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Jasmine has of a pizza left. She is going to divide the leftovers into 6 equal

Roman55 [17]

Answer:

1/6

Step-by-step explanation:

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3 years ago

F(x) = 3x + x3

____ [38]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

$\frac{d}{dx}\left(3x+x^3\right)$

$\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'$

$=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

solving

$\frac{d}{dx}\left(3x\right)$

$\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'$

$=3\frac{d}{dx}\left(x\right)$

$\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1$

$=3\cdot \:1$

$=3$

now solving

$\frac{d}{dx}\left(x^3\right)$

$\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}$

$=3x^{3-1}$

$=3x^2$

Thus, the expression becomes

$\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)$

$=3+3x^2$

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 = 3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

$\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

$x=\sqrt{4},\:x=-\sqrt{4}$

$x=2,\:x=-2$

Thus, the value of x will be:

$x=2,\:x=-2$

5 0

3 years ago

Subtract 3 hours, 50 minutes from 5 hours, 20 minutes. 2 hours, 20 minutes

Furkat [3]

Answer:

1 hours 30 minutes

Step-by-step explanation:

Subtract 5 hours 20 minutes and 3 hours 50 minutes

which gives 1 hours 30 minutes

4 0

3 years ago

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An object moves at a constant rate along a circular path with radius 10 inches, and makes 3 revolutions in 2 seconds.

Neko [114]

Answer:

94.28 inches/second.

Step-by-step explanation:

The length of the circumference of the circular path with 10 inches radius is = $2\pi r = 2 \times \frac{22}{7} \times 10 = 62.85$ inches.

Now, the point on the edge of the wheel moves by 3 revolutions in 2 seconds.

So, in 2 seconds the point moves a linear distance of (3 × 62.85) = 188.57 inches.

Therefore, the linear velocity of the point in inches per second is $\frac{188.57}{2} = 94.28$ inches per second.

(Answer)

8 0

3 years ago

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